On the lower semicontinuity and approximation of \(L^\infty\)-functionals
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Publication:889847
DOI10.1007/s00030-015-0337-yzbMath1326.49021OpenAlexW1242465997MaRDI QIDQ889847
Publication date: 9 November 2015
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-015-0337-y
lower semicontinuity\(\Gamma\)-convergenceMorrey quasiconvexityCarathéodory function\(L^\infty\)-functionals\(L^p\)-approximation
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On the lower semicontinuity of supremal functional under differential constraints ⋮ A relaxation result in the vectorial setting and power law approximation for supremal functionals ⋮ An elementary proof of Marcellini Sbordone semicontinuity theorem ⋮ On the numerical approximation of vectorial absolute minimisers in \(L^\infty\) ⋮ A minimisation problem in L∞ with PDE and unilateral constraints ⋮ \( \Gamma \)-convergence for power-law functionals with variable exponents ⋮ Vectorial variational principles in \(L^\infty\) and their characterisation through PDE systems ⋮ Inverse Optical Tomography through PDE Constrained Optimization $L^\infty$ ⋮ Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals
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